What is the Least Common Multiple of 4615 and 4634?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 4615 and 4634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4615 and 4634, than apply into the LCM equation.

GCF(4615,4634) = 1
LCM(4615,4634) = ( 4615 × 4634) / 1
LCM(4615,4634) = 21385910 / 1
LCM(4615,4634) = 21385910

Least Common Multiple (LCM) of 4615 and 4634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4615 and 4634. First we will calculate the prime factors of 4615 and 4634.

Prime Factorization of 4615

Prime Factorization of 4634

Now multiplying the highest exponent prime factors to calculate the LCM of 4615 and 4634.

LCM(4615,4634) = 5¹ × 13¹ × 71¹ × 2¹ × 7¹ × 331¹
LCM(4615,4634) = 21385910